p-Adic Valued Distributions in Mathematical Physics

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Exploring the realm of p-adic numbers reveals their significance beyond pure mathematics, particularly in the context of quantum physics. Initially perceived as exotic, p-adic numbers have emerged as foundational in recent quantum models. Introduced by K. Hensel in 1904, p-adic numbers are constructed through a unique valuation process, leading to various completions of rational numbers. This book delves into p-adic analysis, probability, and their applications in modern physics, challenging the traditional reliance on real and complex numbers in scientific models.